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3 years ago

Is 17/25 in decimal terminate or repeat?

Mathematics

2 answers:

lisov135 [29]3 years ago

5 0

Terminate because 17/25 is the same as 68/100 and that is 0.68. So, it is terminate

PIT_PIT [208]3 years ago

5 0

Firstly we need to realize that 17/25 is as much as 68/100 (because 4 * 17 = 68 and 4 * 25 = 100). Now we can write it as a decimal of 0.68.

<span>0.68 is a terminate decimal because there is no other digit than 0 we can add on its right hand side.</span>

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What is the solution to the compound inequality in interval notation?

ollegr [7]

Answer:

Step-by-step explanation:

Because of the word "or", this is a disjunction, or a union of all the solutions to the inequality as they present on a number line.

For the first inequality:

4(x + 1) > -4 we distribute through the parenthesis to get

4x + 4 > -4 and subtract 4 from both sides to get

4x > -8 and then divide both sides by 4 to get

x > -2. That will be graphed on a number line with an open hole over the -2 and the arrow will go to the right where the numbers are bigger than -2. This arrow continues into positive infinity.

For the other inequality:

2x - 4 ≤ -10 we add 4 to both sides to get

2x ≤ -6 and then divide by 2 to get

x ≤ -3. That is a closed hole over -3 and the arrow goes to negative infinity (to the left). Since one arrow goes off to the right forever, and the other arrow goes off to the left forever, and the arrows do not intersect at any point, the interval notation answer is

(-∞, -3] or (-2, ∞). The parenthesis mean that the number following it is not included (you can't include infinity, either negative or positive, because it's not actually a number) and the brackets mean that the number following it IS included. The hole is closed over the -3 so -3 is included in the solution, where the hole over the -2 is open and is not included.

4 0

1 year ago

Louis bought a burger and soda for $8. Kate purchased a slice of pizza and soda for $9. Biff purchased a burger, a slice of pizz

Arte-miy333 [17]

The equation for Louis's purchase is: $x+y=8$

The equation for Kate's purchase is: $y+z=9$

The equation for Biff's purchase is: $x+y+z=13.50$

Step-by-step explanation:

First of all we have to define variables for each item involved in the purchase

Let x represent burger

y represent soda

z be the slice of pizza

Then

"Louis bought a burger and soda for $8"

$x+y=8$

"Kate purchased a slice of pizza and soda for $9"

$y+z=9$

"Biff purchased a burger, a slice of pizza and a soda for $13.50"

$x+y+z=13.50$

The equation for Louis's purchase is: $x+y=8$

The equation for Kate's purchase is: $y+z=9$

The equation for Biff's purchase is: $x+y+z=13.50$

Keywords: Linear Equations, Variables

Learn more about Linear equations at:

#LearnwithBrainly

5 0

3 years ago

Explain how numbers with a 5 in the ones place are not prime numbers

aleksandrvk [35]

Because they will always be divisible by 5

7 0

3 years ago

Read 2 more answers

15% of a mass is 45 g. Calculate 20% of the mass

ira [324]

What is 100% of the mass ?

4 0

3 years ago

Read 2 more answers

Fill in the missing numbers to create equivalent ratios.

jasenka [17]

Step-by-step explanation:

The way to find missing numbers in equivalent ratios is to multiply the means (the first denominator and the second numerator) and multiply the extremes (the first numerator and the second denominator). It sounds really complicated, but it is quite simple =)

2/5 = x/10

The means in this equivalent ration are 5 and x. The extremes are 2 and 10.

5x = 20

Now solve =)

x = 4

That was pretty simple. Let's move on to the next one. Do exactly the same thing here:

4/10 = 6/x

60 = 4x

15 = x

That was pretty simple, too! Keep going!

6/15 = x/25

15x = 150

x = 10

All of these should be equal, so check them by dividing:

2/5 = 0.4

4/10 = 0.4

6/15 = 0.4

10/25 = 0.4

They all check out, so these are your answers: 2/5, 4/10, 6/15, 10/25

I really hope this helps you =)

8 0

3 years ago

Read 2 more answers